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Spatial Independent Component Analysis (ICA) decomposes the time by space functional MRI (fMRI) matrix into a set of 1-D basis time courses and their associated 3-D spatial maps that are optimized for mutual independence. When applied to…

应用统计 · 统计学 2015-05-30 Gautam V. Pendse , David Borsook , Lino Becerra

Kernel methods are powerful learning methodologies that allow to perform non-linear data analysis. Despite their popularity, they suffer from poor scalability in big data scenarios. Various approximation methods, including random feature…

机器学习 · 统计学 2022-06-14 Bharath Sriperumbudur , Nicholas Sterge

We propose a new method of independent component analysis (ICA) in order to extract appropriate features from high-dimensional data. In general, matrix factorization methods including ICA have a problem regarding the interpretability of…

机器学习 · 统计学 2024-10-18 Yusuke Endo , Koujin Takeda

Independent Component Analysis (ICA) is a fundamental unsupervised learning technique foruncovering latent structure in data by separating mixed signals into their independent sources. While substantial progress has been made in…

机器学习 · 计算机科学 2026-04-13 Yuwen Jiang

The Neural Tangent Kernel (NTK) has discovered connections between deep neural networks and kernel methods with insights of optimization and generalization. Motivated by this, recent works report that NTK can achieve better performances…

机器学习 · 计算机科学 2021-04-06 Insu Han , Haim Avron , Neta Shoham , Chaewon Kim , Jinwoo Shin

Independent component analysis (ICA) is a statistical method for transforming an observable multi-dimensional random vector into components that are as statistically independent as possible from each other. Usually the ICA framework assumes…

机器学习 · 统计学 2018-11-21 Amichai Painsky

Independent component analysis is an unsupervised learning approach for computing the independent components (ICs) from the multivariate signals or data matrix. The ICs are evaluated based on the multiplication of the weight matrix with the…

This paper exploits the feature extraction capabilities of the discrete cosine transform (DCT) together with an illumination normalization approach in the logarithm domain that increase its robustness to variations in facial geometry and…

计算机视觉与模式识别 · 计算机科学 2015-06-30 Arindam Kar , Debotosh Bhattacharjee , Dipak Kumar Basu , Mita Nasipuri , Mahantapas Kundu

We propose a method for feature selection that employs kernel-based measures of independence to find a subset of covariates that is maximally predictive of the response. Building on past work in kernel dimension reduction, we show how to…

机器学习 · 统计学 2018-10-23 Jianbo Chen , Mitchell Stern , Martin J. Wainwright , Michael I. Jordan

Kernel methods form a powerful, versatile, and theoretically-grounded unifying framework to solve nonlinear problems in signal processing and machine learning. The standard approach relies on the kernel trick to perform pairwise evaluations…

机器学习 · 计算机科学 2019-12-11 Kan Li , Jose C. Principe

In the most intrusion detection systems (IDS), a system tries to learn characteristics of different type of attacks by analyzing packets that sent or received in network. These packets have a lot of features. But not all of them is required…

密码学与安全 · 计算机科学 2013-05-13 Shafigh Parsazad , Ehsan Saboori , Amin Allahyar

Dictionary learning and component analysis models are fundamental for learning compact representations that are relevant to a given task (feature extraction, dimensionality reduction, denoising, etc.). The model complexity is encoded by…

机器学习 · 统计学 2018-11-13 Mehdi Bahri , Yannis Panagakis , Stefanos Zafeiriou

Deep neural networks learn structured features from complex, non-Gaussian inputs, but the mechanisms behind this process remain poorly understood. Our work is motivated by the observation that the first-layer filters learnt by deep…

机器学习 · 统计学 2025-07-14 Fabiola Ricci , Lorenzo Bardone , Sebastian Goldt

The K-means algorithm is among the most commonly used data clustering methods. However, the regular K-means can only be applied in the input space and it is applicable when clusters are linearly separable. The kernel K-means, which extends…

机器学习 · 计算机科学 2020-12-08 Amir Aradnia , Maryam Amir Haeri , Mohammad Mehdi Ebadzadeh

This study presents a divide-and-conquer (DC) approach based on feature space decomposition for classification. When large-scale datasets are present, typical approaches usually employed truncated kernel methods on the feature space or DC…

机器学习 · 计算机科学 2018-07-30 Qi Guo , Bo-Wei Chen , Feng Jiang , Xiangyang Ji , Sun-Yuan Kung

We develop a new neural network based independent component analysis (ICA) method by directly minimizing the dependence amongst all extracted components. Using the matrix-based R{\'e}nyi's $\alpha$-order entropy functional, our network can…

图像与视频处理 · 电气工程与系统科学 2022-02-16 Hongming Li , Shujian Yu , Jose C. Principe

Independent component analysis (ICA) is a statistical method for transforming an observable multidimensional random vector into components that are as statistically independent as possible from each other.Usually the ICA framework assumes a…

信息论 · 计算机科学 2015-08-21 Amichai Painsky , Saharon Rosset , Meir Feder

Independent component analysis (ICA) is a blind source separation method for linear disentanglement of independent latent sources from observed data. We investigate the special setting of noisy linear ICA where the observations are split…

机器学习 · 计算机科学 2023-03-06 Teodora Pandeva , Patrick Forré

This paper presents a new efficient black-box attribution method based on Hilbert-Schmidt Independence Criterion (HSIC), a dependence measure based on Reproducing Kernel Hilbert Spaces (RKHS). HSIC measures the dependence between regions of…

计算机视觉与模式识别 · 计算机科学 2022-09-28 Paul Novello , Thomas Fel , David Vigouroux

Feature selection is a critical step in data-driven applications, reducing input dimensionality to enhance learning accuracy, computational efficiency, and interpretability. Existing state-of-the-art methods often require post-selection…

机器学习 · 计算机科学 2025-08-18 Pedram Pad , Hadi Hammoud , Mohamad Dia , Nadim Maamari , L. Andrea Dunbar